软弹簧Duffing方程在次谐与超次谐区域中的一些现象

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

Some Phenomena for Weak Spring Duffing Equation in Subharmonic and Ultrasubharmonic Region

摘要: 本文用Melnikov-Holmes方法讨论了软弹簧Duffinz方程在小扰动之下进入浑沌的情况,发现在有限浑沌区间中次谐与浑沌共存的复杂现象。

Abstract: In this paper the situation in which weak spring Duffing equation gets into the chaos on account of small perturbation is discussed with Melnikov-Holmes' method, and some phenomena in which the different subharmonic and the ultrasubharmonic coexist with the chaos are discovered.

[1]	刘曾荣、姚伟国、朱照宣,软弹簧buffing方程解进入浑沌的途径,应用数学和力学,7, 2(1986),103-108.
[2]	Liu Zeng-rong, About some complex Phenomena in the chaos, ICNM symposium (1985).
[3]	Gucknheimer, J. and P.Holmes, Nonlinear Oscillation, Dynamical, and Bifurcation of Vector Fields, Springer-Verlag(1983).